Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2

Research output: Contribution to journalArticle

Abstract

A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values.

Original languageEnglish (US)
Pages (from-to)23-27
Number of pages5
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume6
Issue number1
DOIs
StatePublished - 2001
Externally publishedYes

Fingerprint

viruses
Numerical Modeling
Viruses
Virus
Drugs
drugs
Runge-Kutta method
Runge Kutta methods
Deterministic Model
Runge-Kutta Methods
Finite difference method
Difference Method
Fourth Order
Numerical methods
Finite Difference
Exceed
Monitor
Discretization
Numerical Methods
Model

Keywords

  • Finite-difference
  • HSV-2
  • Initial-value problem
  • Numerical instabilities
  • Positivity

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

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abstract = "A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values.",
keywords = "Finite-difference, HSV-2, Initial-value problem, Numerical instabilities, Positivity",
author = "Abba Gumel",
year = "2001",
doi = "10.1016/S1007-5704(01)90024-3",
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AB - A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values.

KW - Finite-difference

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KW - Initial-value problem

KW - Numerical instabilities

KW - Positivity

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